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<span class="kw">let </span><font color="Maroon" title="c3">OTS</font> be   <a href="geomtrap.html#NM2" title="GEOMTRAP:NM.2">OrdTrapSpace</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">a19</font>, <font color="Olive" title="b2">b19</font>, <font color="Olive" title="b3">a9</font>, <font color="Olive" title="b4">b9</font>, <font color="Olive" title="b5">c9</font>, <font color="Olive" title="b6">d9</font> being  <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="diraf.html#K2" title="DIRAF:func.2">Lambda</a> <font color="Maroon" title="c3">OTS</font></span>)</span>  st <font color="Olive" title="b1">a19</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">b19</font> &amp; <font color="Olive" title="b1">a19</font>,<font color="Olive" title="b2">b19</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b3">a9</font>,<font color="Olive" title="b4">b9</font> &amp; <font color="Olive" title="b1">a19</font>,<font color="Olive" title="b2">b19</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b5">c9</font>,<font color="Olive" title="b6">d9</font> holds <br/><font color="Olive" title="b3">a9</font>,<font color="Olive" title="b4">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Olive" title="b5">c9</font>,<font color="Olive" title="b6">d9</font></span><br/><span class="kw">let </span><font color="Maroon" title="c4">a19</font>, <font color="Maroon" title="c5">b19</font>, <font color="Maroon" title="c6">a9</font>, <font color="Maroon" title="c7">b9</font>, <font color="Maroon" title="c8">c9</font>, <font color="Maroon" title="c9">d9</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="diraf.html#K2" title="DIRAF:func.2">Lambda</a> <font color="Maroon" title="c3">OTS</font></span>)</span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c4">a19</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">b19</font> &amp; <font color="Maroon" title="c4">a19</font>,<font color="Maroon" title="c5">b19</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">a9</font>,<font color="Maroon" title="c7">b9</font> &amp; <font color="Maroon" title="c4">a19</font>,<font color="Maroon" title="c5">b19</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">c9</font>,<font color="Maroon" title="c9">d9</font> implies <font color="Maroon" title="c6">a9</font>,<font color="Maroon" title="c7">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">c9</font>,<font color="Maroon" title="c9">d9</font> )</span><br/>













<span class="kw">reconsider </span><font color="Maroon" title="c10">a1</font> = <font color="Maroon" title="c4">a19</font>, <font color="Maroon" title="c11">b1</font> = <font color="Maroon" title="c5">b19</font>, <font color="Maroon" title="c12">a</font> = <font color="Maroon" title="c6">a9</font>, <font color="Maroon" title="c13">b</font> = <font color="Maroon" title="c7">b9</font>, <font color="Maroon" title="c14">c</font> = <font color="Maroon" title="c8">c9</font>, <font color="Maroon" title="c15">d</font> = <font color="Maroon" title="c9">d9</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <font color="Maroon" title="c3">OTS</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="geomtrap.html#T50" target="_self" title="GEOMTRAP:th.50">Th50</a></span>;<br/>
<span class="kw">assume </span><span class="kw">that </span><br/><a NAME="E2:109"/><span class="lab"><font color="Green" title="E89">A1</font></span>: 
<font color="Maroon" title="c4">a19</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Maroon" title="c5">b19</font>
 <span class="kw">and </span><br/><a NAME="E3:109"/><span class="lab"><font color="Green" title="E90">A2</font></span>: 
<font color="Maroon" title="c4">a19</font>,<font color="Maroon" title="c5">b19</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c6">a9</font>,<font color="Maroon" title="c7">b9</font>
 <span class="kw">and </span><br/><a NAME="E4:109"/><span class="lab"><font color="Green" title="E91">A3</font></span>: 
<font color="Maroon" title="c4">a19</font>,<font color="Maroon" title="c5">b19</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">c9</font>,<font color="Maroon" title="c9">d9</font>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c6">a9</font>,<font color="Maroon" title="c7">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">c9</font>,<font color="Maroon" title="c9">d9</font></span><br/>

<a NAME="E5:109"/><span class="lab"><font color="Green" title="E92">A4</font></span>: 
( <font color="Maroon" title="c10">a1</font>,<font color="Maroon" title="c11">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">c</font>,<font color="Maroon" title="c15">d</font> or <font color="Maroon" title="c10">a1</font>,<font color="Maroon" title="c11">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c15">d</font>,<font color="Maroon" title="c14">c</font> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:109"><span class="lab"><font color="Green" title="E91">A3</font></span></a>, <a class="ref" href="geomtrap.html#T51" target="_self" title="GEOMTRAP:th.51">Th51</a></span>;<br/>
<a NAME="E6:109"/>
( <font color="Maroon" title="c10">a1</font>,<font color="Maroon" title="c11">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c12">a</font>,<font color="Maroon" title="c13">b</font> or <font color="Maroon" title="c10">a1</font>,<font color="Maroon" title="c11">b1</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c13">b</font>,<font color="Maroon" title="c12">a</font> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:109"><span class="lab"><font color="Green" title="E90">A2</font></span></a>, <a class="ref" href="geomtrap.html#T51" target="_self" title="GEOMTRAP:th.51">Th51</a></span>;<br/>
<a NAME="E7:109"/><span class="kw">then </span>
( <font color="Maroon" title="c12">a</font>,<font color="Maroon" title="c13">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">c</font>,<font color="Maroon" title="c15">d</font> or <font color="Maroon" title="c12">a</font>,<font color="Maroon" title="c13">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c15">d</font>,<font color="Maroon" title="c14">c</font> or <font color="Maroon" title="c13">b</font>,<font color="Maroon" title="c12">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">c</font>,<font color="Maroon" title="c15">d</font> or <font color="Maroon" title="c13">b</font>,<font color="Maroon" title="c12">a</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c15">d</font>,<font color="Maroon" title="c14">c</font> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:109"><span class="lab"><font color="Green" title="E89">A1</font></span></a>, <a class="txt" href="#E5:109"><span class="lab"><font color="Green" title="E92">A4</font></span></a>, <a class="ref" href="geomtrap.html#D14" target="_self" title="GEOMTRAP:def.14">Def14</a></span>;<br/>
<a NAME="E8:109"/><span class="kw">then </span>
( <font color="Maroon" title="c12">a</font>,<font color="Maroon" title="c13">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c14">c</font>,<font color="Maroon" title="c15">d</font> or <font color="Maroon" title="c12">a</font>,<font color="Maroon" title="c13">b</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c15">d</font>,<font color="Maroon" title="c14">c</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="geomtrap.html#D14" target="_self" title="GEOMTRAP:def.14">Def14</a></span>;<br/>
<span class="kw">hence </span><a NAME="E9:109"/>
<font color="Maroon" title="c6">a9</font>,<font color="Maroon" title="c7">b9</font> <a href="analoaf.html#R2" title="ANALOAF:pred.2">//</a> <font color="Maroon" title="c8">c9</font>,<font color="Maroon" title="c9">d9</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="geomtrap.html#T51" target="_self" title="GEOMTRAP:th.51">Th51</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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